If `alphaa n dbeta` are the roots of `ax^2+bx+c=0a n dS_n=alpha^n+beta^n,` then `a S_(n+1)+b S_n+c S_(n-1)=0` and hence find `S_5dot`

If alpha,beta are the roots of the equation ax^2+bx+c=0 and S_n=alpha^n+beta^n , show that aS_(n+1)+bS_n+cS_(n-1)=0 and hence find S_5

If alpha,beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n), then a S_(n+1)+cS_(n)-1)=

If alpha , beta are the roots of the equation ax^(2)+bx+c=0 and S_(n)=alpha^(n)+beta^(n) , then aS_(n+1)+bS_(n)+cS_(n-1)=(n ge 2)

If alpha and beta are the roots of the equation ax^(2)+bx+b=0 and S_(n)=alpha^(n)+beta^(n), then aS_(n+1)+bS_(n)+cS_(n-1)=

alpha and beta are the roots of x^2-x-1=0 and S_n=2023 alpha^n 2024 beta^n then

If alpha and beta are the roots of the equation x^(2)-ax+b=0 and A_(n)=alpha^(n)+beta^(n)

If alpha,beta be the roots of x^(2)-x-1=0 and A_(n)=alpha^(n)+beta^(n), then A . M of A_(n-1) and A_(n), is